The owner of a fish market determined that the average weight for a catfish is 3.2 pounds with a standard deviation of 0.8 pound. A citation catfish should be one of the top 2% in weight. Assuming the weights of catfish are normally distributed, at what weight (in pounds) should the citation designation be established?
A) 1.56 pounds
B) 4.84 pounds
C) 5.20 pounds
D) 7.36 pounds

Question

Quizplus · Accepted Answer

To find the weight for the top 2%, we use the z-score for 98% (since 100% - 2% = 98%) which is approximately 2.05. Using the formula: weight = mean + (z-score * standard deviation), we get 3.2 + (2.05 * 0.8) = 4.84 pounds.

The Owner of a Fish Market Determined That the Average